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Finding the Fourth Proportional to 225,138.86, 310,624.62 and 129,643.10

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Solution

The fourth proportional to 225,138.86, 310,624.62 and 129,643.10 is: 178,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,138.86 : 310,624.62 = 129,643.10 : x
  2. Step 2: Convert to fraction form
    225,138.86/310,624.62 = 129,643.10/x
  3. Step 3: Cross multiply
    225,138.86x = 310,624.62 × 129,643.10
  4. Step 4: Simplify right side
    225,138.86x = 40,270,338,673.12
  5. Step 5: Solve for x
    x = 40,270,338,673.12/225,138.86
  6. Step 6: Final answer
    x = 178,868.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.